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Fluence and Dose Conversions

Proton vs. 1MeV neutron equivalent fluence

The equivalent 1 MeV neutron fluence Φeq can be calculated multiplying the proton fluence (Φp) by the hardness factor k:

Φeq = k × Φp [cm-2]

For a 24 GeV/c proton beam (IRRAD) k = 0.62 ± 0.04 (best estimate from experimental measurements: https://iopscience.iop.org/article/10.1088/1748-0221/14/12/P12004 )

Proton fluence vs. Total Ionising Dose

Proton of momentum ≥GeV/c and pions ≥300 MeV/c deposit energy at a rate of ~2 MeV·cm2/g in practically all target materials (minimum ionizing energy loss rate). Under these conditions (valid for the CERN PS protons of IRRAD and positive pions at PSI) a good estimation of the absorbed dose [Gy] can be done using:

Dose [Gy] = 1.602 × 10-10 × (dE/dx)min [MeV·cm2/g] × Φp[cm-2]

Where Φp is the proton (or pion) fluence [cm-2] and (dE/dx)min are the values listed in this table [MeV·cm2/g] for various materials and compounds.

For further information please read this publicaton https://doi.org/10.1109/TNS.2018.2829864

TID (Gy) vs. TID (rad)

Please, find an online converter in this link